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A004845
Numbers that are the sum of at most 5 positive 5th powers.
4
0, 1, 2, 3, 4, 5, 32, 33, 34, 35, 36, 64, 65, 66, 67, 96, 97, 98, 128, 129, 160, 243, 244, 245, 246, 247, 275, 276, 277, 278, 307, 308, 309, 339, 340, 371, 486, 487, 488, 489, 518, 519, 520, 550, 551, 582, 729, 730, 731, 761, 762, 793, 972, 973, 1004, 1024
OFFSET
1,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 1..10000 (first 300 terms from Vincenzo Librandi)
MAPLE
b:= proc(n, i, t) option remember; n=0 or i>0 and t>0
and (b(n, i-1, t) or i^5<=n and b(n-i^5, i, t-1))
end:
a:= proc(n) option remember; local k;
for k from 1+ `if`(n=1, -1, a(n-1))
while not b(k, iroot(k, 5), 5) do od; k
end:
seq(a(n), n=1..50); # Alois P. Heinz, Sep 16 2016
MATHEMATICA
Select[Table[n, {n, 0, 1200}], Length[PowersRepresentations[#, 5, 5]] > 0 &] (* Vladimir Joseph Stephan Orlovsky, Jul 19 2011 *)
CROSSREFS
Column k=5 of A336820.
Sequence in context: A345306 A086130 A024636 * A124128 A286902 A037401
KEYWORD
nonn
STATUS
approved